Pith Number

pith:3JWRQ25Q

pith:2017:3JWRQ25QR4OE6ST4AEZKFCVZE2

not attested not anchored not stored refs pending

Unexpected quadratic behaviors for the small-time local null controllability of scalar-input parabolic equations

Fr\'ed\'eric Marbach, Karine Beauchard

arxiv:1712.09790 v3 · 2017-12-28 · math.OC · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JWRQ25QR4OE6ST4AEZKFCVZE2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:45:15.596748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da6d186bb08f1c4f4a7c0132a28ab926b98fe8386d30c250e3522d82022a5d66

Aliases

arxiv: 1712.09790 · arxiv_version: 1712.09790v3 · doi: 10.48550/arxiv.1712.09790 · pith_short_12: 3JWRQ25QR4OE · pith_short_16: 3JWRQ25QR4OE6ST4 · pith_short_8: 3JWRQ25Q

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3JWRQ25QR4OE6ST4AEZKFCVZE2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: da6d186bb08f1c4f4a7c0132a28ab926b98fe8386d30c250e3522d82022a5d66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29c8d61b80edee0792aafe6216200d1ce6da940c63a17135e5601d3159eeb06e",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-12-28T08:54:28Z",
    "title_canon_sha256": "694fef15b7aca936b90e9f131c8e4d07a59f52695ab7e5489e11fc8a0a3fe318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09790",
    "kind": "arxiv",
    "version": 3
  }
}